I think baby changing bag can serve this purpose well because it is very convenient and many moms like to carry quite a lot baby changing bags.
I would like to recommend you some best baby changing bags for your baby, as below:
1) Diaper Dude Diaper Bag, Black
2) Skip Hop Duo Deluxe Diaper Bag, Wave Dot
5) Skip Hop Duo Double Deluxe Charcoal
I can say that the mentioned items are best baby changing bags for your baby. They are very nice and suitable for modern mom like you.